Question: The U.S. Census Bureau says the 52-question long form received by 1 in 6 households during the 2000 census takes a mean of 38 minutes

The U.S. Census Bureau says the 52-question “long form” received by 1 in 6 households during the 2000 census takes a mean of 38 minutes to complete. Suppose a simple random sample of 35 persons is given the form, and their mean time to complete it is 36.8 minutes, with a standard deviation of 4.0 minutes. From these sample results, and using the 0.10 level of significance, would it seem that the actual population mean time for completion might be some value other than 38 minutes?

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